Title: Group-structure of block transformations - matching conditions for the critical properties of lattice spin systems
Authors: Stella, AL ×
Dekeyser, Raf
Indekeu, Joseph
Toigo, F #
Issue Date: 1979
Publisher: Published for the American Physical Society by the American Institute of Physics
Series Title: Physical Review B, Condensed Matter vol:20 issue:9 pages:3799-3808
Abstract: Matching procedures, related to the group structure of block-spin renorrnalization, are proposed for an optimal choice of parameter-dependent transformations. The method also allows to determine the parameter's dependence on the reduced coupling near the fixed point. Applications to linear transformations for two- and three-dimensional Ising models and twodimensional three-, four-, and five-state Potts systems are reported. With simple approximations
good estimates of critical couplings and exponents are obtained. Results for the two-dimensional spin-1/2 XY system and their possible implications, as far as an eventual transition is concerned, are discussed. Some applications to nonlinear transformations are also considered.
ISSN: 0163-1829
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
× corresponding author
# (joint) last author

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